Prime p₀= 1329256363089282767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Theadalus
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1329254743957528189	0 40 42 48 60 84 244 250 252 258 418 442 454 460 462 502	-1619131754578
TPT(14)	1329255340806100067	0 2 90 92 150 152 162 164 204 206 252 254 294 296	-1022283182700
SPT(16)	1329255571001505067	0 42 46 60 72 90 100 130 156 186 196 214 226 240 244 286	-792087777700
SPT(16)	1329255761097305773	0 18 28 36 76 78 88 120 124 156 166 168 208 216 226 244	-601991976994
STPT(10)	1329256211606479361	0 2 6 8 18 20 30 32 36 38	-151482803406
TPT(14)	1329256326634288751	0 2 96 98 138 140 156 158 180 182 240 242 306 308	-36454994016
STPT(10)	1329256496494802147	0 2 24 26 42 44 60 62 84 86	133405519380
SPT(16)	1329256877270481343	0 16 18 28 84 184 186 196 228 238 240 340 396 406 408 424	514181198576
STPT(10)	1329257236366787009	0 2 18 20 60 62 102 104 120 122	873277504242
SPT(16)	1329257303110088741	0 6 12 48 60 68 102 138 140 176 210 218 230 266 272 278	940020805974
SPT(16)	1329257510839081609	0 10 18 24 70 100 108 114 148 154 162 192 238 244 252 262	1147749798842